What is 1/2 ÷ 3/4?
Calculate 1/2 ÷ 3/4 with a complete step-by-step solution. Learn how to divide fractions and understand the process.
Answer:
1/2 ÷ 3/4 = \frac{2}{3}
Step-by-Step Solution
Step 1
Identify the Division Problem
To divide fractions, we use the "Keep, Change, Flip" method:
• Keep the first fraction
• Change division to multiplication
• Flip (take the reciprocal of) the second fraction
\frac{1}{2} \div \frac{3}{4} = ?
Step 2
Apply Keep, Change, Flip
Keep: \frac{1}{2}
Change: ÷ becomes ×
Flip: \frac{3}{4} becomes \frac{4}{3}
\frac{1}{2} \div \frac{3}{4} = \frac{1}{2} \times \frac{4}{3}
Step 3
Multiply the Fractions
Multiply numerators: 1 × 4 = 4
Multiply denominators: 2 × 3 = 6
\frac{1}{2} \times \frac{4}{3} = \frac{1 \times 4}{2 \times 3} = \frac{4}{6}
Step 4
Simplify the Result
Find the GCF of 4 and 6: GCF = 2
Divide both by 2
\frac{4}{6} = \frac{4 \div 2}{6 \div 2} = \frac{2}{3}
Step 5
Final Answer
The result is 2/3
As a decimal: 0.666667
\frac{1}{2} \div \frac{3}{4} = \frac{2}{3}